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References to 'classification of topological properties according to behaviour under mapping'
1. a connected and locally path connected space is path connected by Mathprof
2. analytic disc by jirka
3. balls in ultrametric spaces are clopen subsets by MFH
4. characterization of $T2$ spaces by matte
5. characterization of almost convex functions by rspuzio
6. circulation and vorticity by perucho
7. clopen subset by mathcam
8. compact subspace of a Hausdorff space is closed by ehremo
9. composition of continuous mappings is continuous by mathcam
10. connected im kleinen by Mathprof
11. continuity is preserved when codomain is extended by matte
12. continuous almost everywhere versus equal to a continuous function almost everywhere by Wkbj79
13. criterion for a Banach *-algebra representation to be irreducible by asteroid
14. equivalent formulations for continuity by matte
15. existence of partitions of unity by asteroid
16. germ by fernsanz
17. Herbrand's theorem (first order logic) by iwnbap
18. If $f\colon X\to Y$ is continuous then $f\colon X\to f(X)$ is continuous by matte
19. initial topology by kompik
20. injective map between real numbers is a homeomorphism by joking
21. interval by PrimeFan
22. intervals are connected by joking
23. Kazimierz Zarankiewicz by ZZZTopologist
24. limit points and closure for connected sets by matte
25. local homeomorphisms between real numbers by joking
26. meet continuous by CWoo
27. neighborhood (of a vertex) by digitalis
28. neutral geometry by CWoo
29. Noetherian topological space by mathcam
30. normal bundle by bwebste
31. open mapping by Koro
32. permutation model by ratboy
33. proof of inverse function theorem (topological spaces) by paolini
34. proof that the convex hull of $S$ is open if $S$ is open by archibal
35. properties of non-archimedean valuations by rm50
36. quantum super-operators by bci1
37. regular element of a Lie algebra by benjaminfjones
38. restriction of a continuous mapping is continuous by matte
39. scattered space by CWoo
40. small site on a scheme by rspuzio
41. some properties of uncountable subsets of the real numbers by sauravbhaumik
42. something related to Alexandrov one-point compactification by adrianita
43. Sorgenfrey half-open plane by rspuzio
44. subanalytic set by jirka
45. surjective open maps in terms of nets by asteroid
46. zero set of a topological space by CWoo